Properties of Addition of Integers

Q.

Question 5 (b)

Find the sum:
37 + (–2) + (–65) + (–8)

Q.

The sum of a positive integer and a negative integer is negative.

1. True
2. False

Q. Using Nikhilam sutra, find 998×1012

1. 1009973
2. 1119976
   
3. 1009976
   
   
4. 1109976
   

Q.

Find the sum: $\left[153+\left(-302\right)\right]$.

Q. Which of the following options is correct ?

1. -8 + 12 - 6 = -3
2. -1 + 1 = -1
3. -3 - 9 = -12
4. -9 + 12 - (-6) = -3

Q.

What will be the sum of $1-2+3-4+5-6.....$when last integer is $21?$

1. $31$

2. $11$

3. $-10$

4. $-31$

Q. Find the value of (-7) + (+4) + (-2).

1. 5
2. -5
3. -3
4. 3

Q.

Ted asked $1$, “But where did $0$ go?” On this, $1$’s sad face became red with anger. It said: “$0$ didn’t go anywhere; it was kidnapped.” Ted got astonished on this. “Kidnapped?”, he asked, “By whom?”

Then $1$ took Ted to $0$’s house. After $0$’s house, there was a wall, pointing to which $1$ said with a serious tone - “Beyond the wall, the kidnappers live. They look like us but have a ‘–‘ sign before them.” The numbers who live beyond the wall are also called ___ of the numbers living in the world of natural numbers.

1. negatives

2. additive inverses

3. opposites

4. clones

Q.

Question 5 (a)

Find the sum:
(–7) + (–9) + 4 + 16

Q. Match the following.

1. 68
2. 25
3. -11
4. 6

Q.

Write the mathematical expression for the following:

$28$ multiplied by the sum of $63$ and $75$

Q. Find the sum : (– 9) + 4 + 12 + (– 3) + 8

1. 12
2. -12
3. 6
4. -6

Q. Simplify : 19 - 14 + 12

1. 17
2. 18
3. 19
4. 16

Q. Observe the following pattern and extend it to three more steps:

6 × 2 − 5 = 7
7 × 3 − 12 = 9
8 × 4 − 21 = 11
9 × 5 − 32 = 13
.... × .... − ..... = ......
.... × .... − ..... = ......
.... × .... − ..... = ......

Q. Choose the appropriate symbol that can be used to fill the blank given below.

(-2) + (4) __ (-3) - (-4)

1. =
2. <
3. >
4. cannot be predicted

Q. The additive inverse(opposite) of -6 is ___

1. +6
2. +4
3. 0
4. +12

Q. Match the following to their simplified values.

1. 1
2. -9
3. -1
4. 9

Q.

Simplify using brackets: (10 + 2) x (10 – 2) .

1. 104

2. 96

3. 98

4. 100

Q.

Simplify 373+(-245)+(-373)+145

Q. 2 + (-9) + 11 + (-20) = ?

1. 30
2. 23
3. -10
4. -16

Q.

Select the statements that are true.

1. 8 - (-5) = 13

2. 10 - (-5) = 13

3. 5 - (-8) = 13

4. 9 - (-4) = 13

Q. 23 + (-21) - 4 = ?

1. -3
2. -4
3. -1
4. -2

Q. The sum of (– 14) + 33 + (– 8) + (– 1) is _____.

1. -12
2. 12
3. -10
4. 10

Q. Write the first four products of two numbers with difference 4 starting from in the following order:

1, 2, 3, 4, 5, 6.....

Q. Sum of two negative integers is _________

1. always negative
2. always positive
3. zero
4. depends on the integers

Q.

Find the sum

1...... -5+(+7)

2........ -8+(+6)

Please Explain step by step

Q.

Add the following :

$(-6)+(-3)+(-7)$

Q.

To make the expressions true, replace $\_\_\_$by $<$, $>$ or $=$ symbols.

$(-8)+(-13)\_\_\_(-8)-(-13)$

Q. Match the following to their simplified values.

1. 1
2. -9
3. -1
4. 9

Q. Match the following to their simplified values.

1. -9
2. -1
3. 1
4. 9